What's the square route of -16 ?

Question

I'm really confused about negative square roots!

What's the square root of -16 ?

Thanks so much

!

Answer 1

4i or -4i

Answer 2

Hi,

For this question, let's separate the give radical to get:

square root of -1 times square root of 16

Now, recall, the square root of 16 is 4 since 4 x 4 or 4 squared = 16.

Next, recall that square root of -1 is defined in mathematics as i and therefore we get:

FINAL ANSWER:  4i

I hope that helps you out!  Please let me know if you have any other questions!

Answer 3

It is 4

4x4 is 16.

Answer 4

the correct answers can be two

-4

-256

Answer 5

doesn't exist such a real number so that it's square equals -16

but exist a complex number * or - 4i.

(+/-4i)^2=-16

Answer 6

square root of -16 is -4

Answer 7

.

.

The square root of -16 is 4i because

sqrt(-16) = sqrt(16) x sqrt(-1)

since sqrt(-1) = i

therefore:

sqrt(-16) = sqrt(16) * i

             = 4 * i

             = 4i

Answer 8

negative square roots result in an imaginary answer

sqrt(-16) = 4i

4i means 4 * sqrt(-1)

Answer 9

i² = -1

so 16* i² = 16 * -1 which is the question

now we need to square root both sides

√ 16* i² = √-16

+-4i =√-16

we have 2 answers

+4i and -4i as when u square root things they have a positive and a negative posibility

Answer 10

If you don't already know the concept of 'i', i is the square root of -1.

What you're asking is the square root of -16, which is basically the square root of the product of 16 and -1.

The square root of 16 is 4.

The square root of -1, as I already said, is i.

The answer is 4i.

Answer 11

- 16

= 16(- 1)

= 16.i^2 where, i ^2 = -1

so, sqrt(- 16) = +/- 4i <==ANSWER

Hope I helped u:)

Answer 12

you cant have a square root of a negative number this is called an irational number think about it what number squared will give youa negative... none seing as if you square a negative the product will always be possitive. hope that clarifys it for you

Answer 13

4i